Finding the Third Proportional to 97,218.50 and 213,124.50
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Solution
The third proportional to 97,218.50 and 213,124.50 is: 467,216.14
Step by Step Solution
- Step 1: Write the proportion equation
97,218.50 : 213,124.50 = 213,124.50 : x - Step 2: Convert to fraction form
97,218.50/213,124.50 = 213,124.50/x - Step 3: Cross multiply
97,218.50x = 213,124.50 × 213,124.50 - Step 4: Simplify right side
97,218.50x = 45,422,052,500.25 - Step 5: Solve for x
x = 45,422,052,500.25/97,218.50 - Step 6: Final answer
x = 467,216.14
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.